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Living Reviews in Relativity, 2008 The problem of describing the quantum behavior of gravity, and thus understanding quantum spacetime, is still open. Loop quantum gravity is a well-developed approach to this problem. It is a mathematically well-defined background-independent quantization
Rovelli Carlo
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AN INVITATION TO LOOP QUANTUM GRAVITY [PDF]
Quantum Theory and Symmetries, 2004 We describe the basic assumptions and key results of loop quantum gravity, which is a background independent approach to quantum gravity. The emphasis is on the basic physical principles and how one deduces predictions from them, at a level suitable for ...
Lee Smolin
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On Propagation in Loop Quantum Gravity [PDF]
Universe, 2022 A rigorous implementation of the Wheeler–Dewitt equations was derived in the context of Loop Quantum Gravity (LQG) and was coined Quantum Spin Dynamics (QSD). The Hamiltonian constraint of QSD was criticised as being too local and to prevent “propagation”
Thomas Thiemann, Madhavan Varadarajan
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A short review of loop quantum gravity [PDF]
Reports on Progress in Physics, 2021 An outstanding open issue in our quest for physics beyond Einstein is the unification of general relativity (GR) and quantum physics. Loop quantum gravity (LQG) is a leading approach toward this goal.
A. Ashtekar, Eugenio Bianchi
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Black-Hole Models in Loop Quantum Gravity [PDF]
Universe, 2020 Dynamical black-hole scenarios have been developed in loop quantum gravity in various ways, combining results from mini and midisuperspace models. In the past, the underlying geometry of space-time has often been expressed in terms of line elements with ...
Martin Bojowald
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The extended loop representation of quantum gravity [PDF]
Physical Review D, 1995 27 pages, report IFFC/94 ...
Rodolfo Gambini
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Matter in Loop Quantum Gravity [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2012 Loop quantum gravity, a non-perturbative and manifestly background free, quantum theory of gravity implies that at the kinematical level the spatial geometry is discrete in a specific sense.
Ghanashyam Date, Golam Mortuza Hossain
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XIVth International Congress on Mathematical Physics, 2006 We describe the canonical approach to quantum gravity and report on the status of its most advanced implementation, Loop Quantum Gravity (LQG).
Alejandro Pérez
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Loop quantum gravity’s boundary maps [PDF]
Classical and Quantum Gravity, 2021 In canonical quantum gravity, the presence of spatial boundaries naturally leads to boundary quantum states, representing quantum boundary conditions for the bulk fields.
Qiang Chen, E. Livine
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(b,v)-type variables for black to white hole transitions in effective loop quantum gravity [PDF]
Physics Letters B, 2021 Quantum gravity effects in effective models of loop quantum gravity, such as loop quantum cosmology, are encoded in the choice of so-called polymerisation schemes.
Norbert Bodendorfer +2 more
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